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Chinese Physics Letters

Preparation and Decoherence of Two-Atom Entangled States in a Dissipative Cavity

Shao-Hua Xiang, Kehui Song

Published Mar 30, 2006• 3 citations
Publisher

Abstract

We present a scheme for generating four pairs of two-atom Einstein–Podolsky–Rosen (EPR) states using the simultaneous interaction of the two atoms with a single-mode cavity field under a large detuning condition. The influence of cavity dissipation on the prepared EPR states is investigated by means of the superoperator method and the state fidelity. It is shown that some kinds of the prepared EPR states are robust against cavity dissipation and the intensity of the field, and maintain their entanglement invariance, and the others are fragile and completely destroyed by the action of cavity dissipation and the intensity of the field in the long-time limit. Decoherence time of the fragile entangled states is extremely small for a typical cavity-QED experimental data.

DOI
10.1088/0256-307x/23/4/002

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We present a scheme for generating four pairs of two-atom Einstein–Podolsky–Rosen (EPR) states using the simultaneous interaction of the two atoms with a single-mode cavity field under a large detuning condition. The influence of cavity dissipation on the prepared EPR states is investigated by means of the superoperator method and the state fidelity. It is shown that some kinds of the prepared EPR states are robust against cavity dissipation and the intensity of the field, and maintain their entanglement invariance, and the others are fragile and completely destroyed by the action of cavity dissipation and the intensity of the field in the long-time limit. Decoherence time of the fragile entangled states is extremely small for a typical cavity-QED experimental data.
We propose a potentially practical scheme to generate two-atom maximally entangled states by the large-detuning interaction between two three-level Λ-type atoms and coherent optical fields. Conditioned on the results of detecting cavity field, four pairs of atomic maximally entangled states with unity fidelity and high successful probability can be prepared. We also investigate the influence of the cavity dissipation on the generated entangled states and discuss the experimental feasibility of our scheme.
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We propose a scheme to generate four-mode multiphoton entangled states by passing NNN identical atoms through two high-QQQ cavities in turn. In the case of N=1N=1N=1, the scheme can deterministically generate Einstein-Podosky-Rosen entangled photon pairs. We use adiabatical state evolution under large atom-cavity detuning, so the scheme is insensitive to atomic spontaneous decay. The influence of cavity decay on fidelity and success probability is also discussed.
Some investigations have been made on the evolution of the linear entropies of atom-field system, in which two identical two-level atoms simultaneously interact with a single-mode dissipative cavity field under large detuning. The effects of the initial atom states and the dissipative factors of the cavity on all linear entropies are also discussed. The results show that the influence of the cavity decay constant on different kinds of Bell states is completely different, and the state |Ψ〉12 is a robust entangled state against the decoherence while the state |Φ〉12 is a fragile entangled state.